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Finding the Fourth Proportional to 1,002.78, 1,502.96 and 881.28

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Solution

The fourth proportional to 1,002.78, 1,502.96 and 881.28 is: 1,320.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.78 : 1,502.96 = 881.28 : x
  2. Step 2: Convert to fraction form
    1,002.78/1,502.96 = 881.28/x
  3. Step 3: Cross multiply
    1,002.78x = 1,502.96 × 881.28
  4. Step 4: Simplify right side
    1,002.78x = 1,324,524.18
  5. Step 5: Solve for x
    x = 1,324,524.18/1,002.78
  6. Step 6: Final answer
    x = 1,320.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.